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Beliebt Rechnen >

y^'=(x^2y^4+2x^2)/(y^3)

Lösung

y^{^{'}} = \frac{x ^{2} y ^{4} + 2 x ^{2}}{y ^{3}}

Lösung

y = 4 e^{c_{1} + \frac{4 x ^{3}}{3}} - 2, y = - 4 e^{c_{1} + \frac{4 x ^{3}}{3}} - 2

Schritte zur Lösung

y^{'} (x) = \frac{x ^{2} y ^{4} + 2 x ^{2}}{y ^{3}}

Solve separable ODE:

y = 4 e^{c_{1} + \frac{4 x ^{3}}{3}} - 2, y = - 4 e^{c_{1} + \frac{4 x ^{3}}{3}} - 2

y = 4 e^{c_{1} + \frac{4 x ^{3}}{3}} - 2, y = - 4 e^{c_{1} + \frac{4 x ^{3}}{3}} - 2

Graph

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